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sergiy2304 [10]
3 years ago
11

On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four Ma

rtianMallows cost? Express your answer as an improper fraction.
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

16/5

Step-by-step explanation:

If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.

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4 people equally share 6 brownies. How much brownie does each person
Sever21 [200]

Answer:

2/3

Step-by-step explanation:

if you half the brownies each person would get 3 halfs of a brownie

8 0
2 years ago
Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)
viktelen [127]
\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}

The first line segment can be parameterized by \mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle with 0\le t\le1. Denote this first segment by C_1. Then

\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt
=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt
=108

The second line segment (C_2) can be described by \mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle, again with 0\le t\le1. Then

\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt
=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt
=-\dfrac{229}3

Finally,

\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3
5 0
3 years ago
A bicycle store installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The owner of th
dalvyx [7]
Dividing the number of tires that should be installed per day which  is 400 by the number of working hours which is 8 will give us 50 tires per hour. Assuming that the same mistake will take toll on the workers such that they will have 1 tire mistakenly installed in an hour, they will have 8 erroneous tires in a day. Multiplying this by 5 to make the answer per week will give 40. Out of the 400 x 5  = 2000 tires. The answer would be 2000 - 40 which is equal to 1940. The assumption must be valid. 
6 0
3 years ago
Read 2 more answers
Mona wants to buy carpet for a floor in her house.
Musya8 [376]

Answer:

13.05

Step-by-step explanation:

8 0
3 years ago
Make x the subject of the formula<br> х<br> +b=<br> a
blagie [28]

Answer:

x = a(c - b)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

x/a + b = c

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract <em>b</em> on both sides:                    x/a = c - b
  2. Multiply <em>a</em> on both sides:                     x = a(c - b)
5 0
3 years ago
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